Generic uniqueness of a minimal solution for variational problems on a torus
type: Item
instance of: scholarly article
title: Generic uniqueness of a minimal solution for variational problems on a torus
zbMATH Open document ID: 1001.49001
DOI: 10.1155/S1085337502000842
published in: Abstract and Applied Analysis
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49611
review text: Summary: We study minimal solutions for one-dimensional variational problems on a torus. We show that, for a generic integrand and any rational number \(\alpha\), there exists a unique (up to translations) periodic minimal solution with rotation number \(\alpha\).
Mathematics Subject Classification ID: 49J10
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 1780529
zbMATH Keywords: one-dimensional variational problems
zbMATH Keywords: periodic minimal solution
zbMATH Keywords: Frenkel-Kontorova model
author: Alexander J. Zaslavski
MaRDI profile type: Publication
OpenAlex ID: W2088104094
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description: scientific article; zbMATH DE number 1780529